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Music Science.

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The book presents the fundamentals of music science, followed by a discussion on the historical evolution of music. An introduction to the analysis of signals in time and frequency is presented, which includes sound and noise. Features and mathematical aspects of the sound are discussed, including v...

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Bibliographic Details
Online Access: Full Text (via Taylor & Francis)
Main Author: Alencar, Marcelo S., 1957-
Format: eBook
Language:English
Published: Milton : River Publishers, 2020.
Subjects:
Music > Acoustics and physics.
Music > Mathematics.
Table of Contents:
  • Cover
  • Half Title
  • Series Page
  • Title page
  • Copyright page
  • Dedication
  • Table of Contents
  • Preface
  • Acknowledgements
  • List of Figures
  • List of Tables
  • 1: Elements and Philosophy of Music
  • 1.1 The Logic of Sound
  • 1.2 The Audio and the Video
  • 1.3 Made of Sound and Silence
  • 1.4 The Quantum Nature of Music
  • 1.5 The Sound Perception
  • 1.6 The Material and the Virtual
  • 1.7 The Organized Sound
  • 1.8 Music and Poetry
  • 2: History and Evolution of Music
  • 2.1 Music of the Evolution
  • 2.2 The Pre-Historic Antiquity
  • 2.3 Music Eras
  • 2.3.1 Middle Ages.
  • 2.3.2 Renaissance
  • 2.3.3 Baroque
  • 2.3.4 Classic
  • 2.3.5 Romantic
  • 2.3.6 Modern Era
  • 2.3.7 Neoclassicism
  • 3: Music and Mathematics
  • 3.1 Music in Theory
  • 3.1.1 Equal Temperament
  • 3.1.2 Just Intonation
  • 3.2 The First Studies of Musical Consonance
  • 3.3 Mathematicians and Music
  • 3.4 The Decomposition of Music
  • 4: Signal Analysis
  • 4.1 Basic Fourier Analysis
  • 4.1.1 The Trigonometric Fourier Series
  • 4.1.2 The Compact Fourier Series
  • 4.1.3 The Exponential Fourier Series
  • 4.2 Convergence to Fourier Transform
  • 5: Fourier Transform Applications
  • 5.1 Fourier Transform.
  • 5.1.1 Fourier Transform of the Impulse Function
  • 5.1.2 Transform of the Unit Step Function
  • 5.1.3 Transform of the Constant Function
  • 5.1.4 The Exponential Signal
  • 5.1.5 Bilateral Exponential Signal
  • 5.1.6 Transform of the Gate Function
  • 5.1.7 Fourier Transform of the Sine and Cosine Functions
  • 5.1.8 Fourier Transform of the Complex Exponential
  • 5.1.9 Fourier Transform of a Periodic Function
  • 6: Properties of the Fourier Transform
  • 6.1 Properties of the Fourier Transform
  • 6.1.1 Linearity the Fourier Transform
  • 6.1.2 Scaling Property
  • 6.1.3 Symmetry of Fourier Transform.
  • 6.1.4 Time Domain Shift
  • 6.1.5 Frequency Domain Shift
  • 6.1.6 Differentiation in the Time Domain
  • 6.1.7 Integration in the Time Domain
  • 6.1.8 The Convolution Theorem in the Time Domain
  • 6.1.9 The Convolution Theorem in the Frequency Domain
  • 6.2 The Sampling Theorem
  • 6.3 Parseval's Theorem
  • 6.4 Average, Power, and Autocorrelation
  • 6.4.1 Time Autocorrelation of Signals
  • 7: Musical Terminology
  • 7.1 Basic Definitions
  • 7.2 A Measure of Dynamics in Music
  • 7.3 A Measure of Time in Music
  • 7.4 Musical Notation and Accidentals
  • 8: Sound Theory
  • 8.1 Sound Characteristics.
  • 8.1.1 The Sounds of an Acoustic Guitar
  • 8.1.2 The Acoustic Guitar Characteristics
  • 8.1.3 The Plucking Effect
  • 8.2 Sound Envelope
  • 9: Acoustics and Cognition
  • 9.1 Acoustics and the Brain
  • 9.2 The Unit of Loudness
  • 9.3 The Auditory System
  • 9.4 The Physiology of Hearing
  • 9.5 Transmission of Sound Waves
  • 9.5.1 Modeling Sound Waves
  • 9.6 Synesthesia and Music
  • 10: Voice Models
  • 10.1 The Human Sound Apparatus
  • 10.2 The Physiology of Human Voice
  • 10.3 The Speech Production Mechanism
  • 10.3.1 Speech Sound Classification
  • 10.4 Vocal Cord Modeling.

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